Solve for X $B ( t ) = 8000 \left( 2 ^ { t } \right)$

question 67

Multiple Choice

Solve for x.
-The number of bacteria in a culture is given by $B ( t ) = 8000 \left( 2 ^ { t } \right)$ , where $t$ is the time in hours. How many bacteria will grow in the culture in the first 8 hours?

• A) \(2,048,000\)
• B) 224,000
• C) 128,000
• D) 80,000

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Definitions:

Slope

In mathematics and statistics, it represents the rate at which a line inclines or declines, showing the change in the dependent variable for a unit change in the independent variable.

Y-Intercept

The location at which a line or curve crosses the y-axis in a coordinate system.

Simple Linear Regression

A statistical method that examines the linear relationship between two continuous variables, using a straight line to model the relationship.

Error Terms

In statistical modeling, these represent the difference between observed values and the values predicted by the model, reflecting unexplained or random variability.